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Logic & Puzzles

In programmable logic controllers (PLCs), if a sensor's boolean output indicates 'NOT (A AND B)', which equivalent expression allows simplified ladder logic implementation?

A)A AND B
B)A NOR B
C)NOT A AND NOT B
D)NOT A OR NOT B

💡 Explanation

De Morgan's law dictates that NOT (A AND B) is equivalent to (NOT A) OR (NOT B); because this transformation enables direct implementation with available logic gates in the PLC. Therefore, using 'NOT A OR NOT B' simplifies the ladder logic, rather than requiring a combined AND and NOT operation.

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